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Finding the Fourth Proportional to 990.10, 1,365.73 and 591.50

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Solution

The fourth proportional to 990.10, 1,365.73 and 591.50 is: 815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.10 : 1,365.73 = 591.50 : x
  2. Step 2: Convert to fraction form
    990.10/1,365.73 = 591.50/x
  3. Step 3: Cross multiply
    990.10x = 1,365.73 × 591.50
  4. Step 4: Simplify right side
    990.10x = 807,831.23
  5. Step 5: Solve for x
    x = 807,831.23/990.10
  6. Step 6: Final answer
    x = 815.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.